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Common Ratio

Sum of the first ten terms of a Geometric Progression

Problem
The first three terms of a geometric progression are 2x, 4x + 14 and 20x - 14. Find the sum of the first ten terms.

A.   413,633 C.   489,335
B.   498,533 D.   431,336

 

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Numbers 4, 2, 5, and 18 are Added Respectively to the First Four Terms of AP, Forming Into a GP

Problem
If 4, 2, 5, and 18 are added respectively to the first four terms of an arithmetic progression, the resulting series is a geometric progression. What is the common difference of the arithmetic progression?
 

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Geometric progression with some given terms

Situation
The 4th term of a geometric progression is 6 and the 10th term is 384.
 

Part 1: What is the common ratio of the G.P.?
A. 1.5
B. 3
C. 2.5
D. 2
 

Part 2: What is the first term?
A. 0.75
B. 1.5
C. 3
D. 0.5
 

Part 3: What is the seventh term?
A. 24
B. 32
C. 48
D. 96
 

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